101002012121101 has 16 divisors (see below), whose sum is σ = 131622531634944. Its totient is φ = 75212875217664.

The previous prime is 101002012121089. The next prime is 101002012121113. The reversal of 101002012121101 is 101121210200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101002012121089) and next prime (101002012121113).

It is a cyclic number.

It is not a de Polignac number, because 101002012121101 - 2¹⁵ = 101002012088333 is a prime.

It is a super-2 number, since 2×101002012121101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002010121101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32644475545 + ... + 32644478638.

It is an arithmetic number, because the mean of its divisors is an integer number (8226408227184).

Almost surely, 2^{101002012121101} is an apocalyptic number.

It is an amenable number.

101002012121101 is a deficient number, since it is larger than the sum of its proper divisors (30620519513843).

101002012121101 is a wasteful number, since it uses less digits than its factorization.

101002012121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65288954220.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101002012121101 its reverse (101121210200101), we get a palindrome (202123222321202).

The spelling of 101002012121101 in words is "one hundred one trillion, two billion, twelve million, one hundred twenty-one thousand, one hundred one".