101002000111020 has 144 divisors (see below), whose sum is σ = 306864180447552. Its totient is φ = 26890668633600.

The previous prime is 101002000111013. The next prime is 101002000111027. The reversal of 101002000111020 is 20111000200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101002000111013) and next prime (101002000111027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101002000110993 and 101002000111011.

It is not an unprimeable number, because it can be changed into a prime (101002000111027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2415543634 + ... + 2415585446.

It is an arithmetic number, because the mean of its divisors is an integer number (2131001253108).

Almost surely, 2^{101002000111020} is an apocalyptic number.

101002000111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002000111020 is an abundant number, since it is smaller than the sum of its proper divisors (205862180336532).

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

101002000111020 is a wasteful number, since it uses less digits than its factorization.

101002000111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63032 (or 63027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002000111020 its reverse (20111000200101), we get a palindrome (121113000311121).

The spelling of 101002000111020 in words is "one hundred one trillion, two billion, one hundred eleven thousand, twenty".