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122021101202021 = 7171995356629337
BaseRepresentation
bin11011101111101001000000…
…011001000110101001100101
3121000001002210100021000100022
4123233221000121012221211
5111443143203401431041
61111303415305524525
734462506432016520
oct3357510031065145
9530032710230308
10122021101202021
11359749495aa42a
121182860baa3745
13531170454a7a8
14221bbd2177bb7
15e190aedc124b
hex6efa40646a65

122021101202021 has 32 divisors (see below), whose sum is σ = 155590238741760. Its totient is φ = 93158428962816.

The previous prime is 122021101201969. The next prime is 122021101202041. The reversal of 122021101202021 is 120202101120221.

It is not a de Polignac number, because 122021101202021 - 222 = 122021097007717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021101202041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26159936 + ... + 30469401.

It is an arithmetic number, because the mean of its divisors is an integer number (4862194960680).

Almost surely, 2122021101202021 is an apocalyptic number.

It is an amenable number.

122021101202021 is a deficient number, since it is larger than the sum of its proper divisors (33569137539739).

122021101202021 is a wasteful number, since it uses less digits than its factorization.

122021101202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56630333.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122021101202021 its reverse (120202101120221), we get a palindrome (242223202322242).

The spelling of 122021101202021 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred one million, two hundred two thousand, twenty-one".

Divisors: 1 7 17 19 119 133 323 953 2261 6671 16201 18107 113407 126749 307819 2154733 56629337 396405359 962698729 1075957403 6738891103 7531701821 18291275851 53967758161 128038930957 377774307127 917451888737 1025387405059 6422163221159 7177711835413 17431585886003 122021101202021