101012011120020 has 1536 divisors, whose sum is σ = 405819798257664. Its totient is φ = 18066663014400.

The previous prime is 101012011120019. The next prime is 101012011120049. The reversal of 101012011120020 is 20021110210101.

It is a super-2 number, since 2×101012011120020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101012011119978 and 101012011120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 74218964140 + ... + 74218965500.

It is an arithmetic number, because the mean of its divisors is an integer number (264205597824).

Almost surely, 2^{101012011120020} is an apocalyptic number.

101012011120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012011120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202909899128832).

101012011120020 is an abundant number, since it is smaller than the sum of its proper divisors (304807787137644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101012011120020 is a wasteful number, since it uses less digits than its factorization.

101012011120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012011120020 its reverse (20021110210101), we get a palindrome (121033121330121).

The spelling of 101012011120020 in words is "one hundred one trillion, twelve billion, eleven million, one hundred twenty thousand, twenty".